I looked up Abraham Gifford in the NSDAR Patriot Index and did not locate him. That doesnt mean he didnt fight, it means that no one has joined the NSDAR Membership using his lineage.
I did check a book called "Massachusetts Soldiers and Sailors in the War of the Revolution, 17 Vols. " and listed was a Gifford, Abraham, listed below. Not sure he is yours but its worth a shot to research.
Gifford, Abraham. Private, Capt. William Hick's co., Col. Pope's regt.; marched Dec. 7, 1777; returned Dec. 14, 1777; service, 8 days; company raised in Dartmouth; also, Capt. William Hicks's co., Col. John Hathaway's (2d Bristol Co.) regt.; enlisted Aug. 1, 1780; discharged Aug. 9, 1780; service, 9 days, on an alarm at Rhode Island; roll sworn to at Dartmouth.
Since he died after the 1840 census, he should be listed there as a patriot. t=The 1840 census asked for the first time the ages of revolutionary war pensioners.
Hope this helps and if we can help you again, please feel free to contact us.
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